Hybrid cellular automaton method for homogeneous tumour growth modelling

被引：0
|
作者：
Zapolski, Kirill M. [1 ]
Admiralskiy, Yury B. [1 ]
Bratus, Alexander S. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Fac Computat Math & Cybernet, Moscow, Russia
来源：
RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING | 2014年 / 29卷 / 05期
关键词：
Hybrid cellular automaton; tumour proliferation; tumour modelling; cancer modelling;
D O I：
10.1515/rnam-2014-0026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper a discrete planar model of the tumour growth is presented. The model is based on hybrid cellular automaton and describes the tumour in a homogeneous tissue. The tissue consists of healthy cells and can have irregular vasculature. The model simulates proliferation processes and necrotic cells appearance which depends on the oxygen supply. There exists a stable solution, which may be used as an approximation of the tissue. Described HCA model can be extended with angiogenesis, nutrients and factors fields.
引用
收藏
页码：319 / 329
页数：11
相关论文
共 50 条
  • [41] On a cellular automaton with time delay for modelling cancer tumors
    Iarosz, K. C.
    Martins, C. C.
    Batista, A. M.
    Viana, R. L.
    Lopes, S. R.
    Caldas, I. L.
    Penna, T. J. P.
    DYNAMIC DAYS SOUTH AMERICA 2010: INTERNATIONAL CONFERENCE ON CHAOS AND NONLINEAR DYNAMICS, 2011, 285
  • [42] An intelligent cellular automaton scheme for modelling forest fires
    Boters-Pitarch, Joan
    Signes-Pont, Maria Teresa
    Szymanski, Julian
    -Mora, Higinio Mora
    ECOLOGICAL INFORMATICS, 2024, 80
  • [43] Cellular automaton simulation of tumour growth - equivocal relationships between simulation parameters and morphologic pattern features
    Smolle, J
    ANALYTICAL CELLULAR PATHOLOGY, 1998, 17 (02) : 71 - 82
  • [44] Modelling dislocation patterns by cellular automaton and molecular dynamics
    Zhang, L
    Zhang, CB
    Wang, YM
    Wang, SQ
    ACTA METALLURGICA SINICA, 2004, 40 (06) : 599 - 603
  • [45] Investigating morphology evolution of damage by a cellular automaton modelling
    Zhang, Jing
    Song, Naihui
    Li, Xiaopeng
    Ren, Zhaohui
    Wen, Bangchun
    PROGRESSES IN FRACTURE AND STRENGTH OF MATERIALS AND STRUCTURES, 1-4, 2007, 353-358 : 1060 - +
  • [46] Innovation Topologies: Modelling Knowledge Diffusion with Cellular Automaton
    Barski, Jan
    Wagner, Magdalena
    Scheler, Anna-Maria
    Noennig, Joerg Rainer
    IFKAD 2014: 9TH INTERNATIONAL FORUM ON KNOWLEDGE ASSET DYNAMICS: KNOWLEDGE AND MANAGEMENT MODELS FOR SUSTAINABLE GROWTH, 2014, : 564 - 578
  • [47] A Cellular Automaton Model for Tumor Growth Simulation
    Monteagudo, Angel
    Santos, Jose
    6TH INTERNATIONAL CONFERENCE ON PRACTICAL APPLICATIONS OF COMPUTATIONAL BIOLOGY & BIOINFORMATICS, 2012, 154 : 147 - 155
  • [48] Parallel Cellular Automaton Tumor Growth Model
    Salguero, Alberto G.
    Capel, Manuel I.
    Tomeu, Antonio J.
    PRACTICAL APPLICATIONS OF COMPUTATIONAL BIOLOGY AND BIOINFORMATICS, 2019, 803 : 175 - 182
  • [49] CELLULAR AUTOMATON MODEL OF THE GROWTH OF MULTILINK CHAIN
    GIORGADZE, AK
    MANDZHGALADZE, PV
    SOVIET JOURNAL OF COMPUTER AND SYSTEMS SCIENCES, 1987, 25 (01): : 176 - 180
  • [50] Modelling Method for a Self-proliferation Cellular Automaton and Computer Simulation for Crystallization of Hypereutectoid Steel
    Fang Yongze
    Li Yongmei
    2008 3RD INTERNATIONAL CONFERENCE ON INTELLIGENT SYSTEM AND KNOWLEDGE ENGINEERING, VOLS 1 AND 2, 2008, : 1432 - 1435
12345